The-flow-velocity-of-a-river-increases-linearly-with-the-distance-r-from-its-bank-and-has-its-maximum-value-v-0-in-the-middle-of-the-river-The-velocity-near-the-bank-is-zero-A-boat-which-can-move Tinku Tara June 4, 2023 Others 0 Comments FacebookTweetPin Question Number 18269 by Tinkutara last updated on 17/Jul/17 Theflowvelocityofariverincreaseslinearlywiththedistance(r)fromitsbankandhasitsmaximumvaluev0inthemiddleoftheriver.Thevelocitynearthebankiszero.Aboatwhichcanmovewithspeeduinstillwatermovesintheriverinsuchawaythatitisalwaysperpendiculartotheflowofcurrent.Find(i)Thedistancealongthebankthroughwhichboatiscarriedawaybytheflowcurrent,whentheboatcrossestheriver.(ii)Theequationoftrajectoryforthecoordinatesystemshown.Assumethattheswimmerstartsfromorigin. Commented by Tinkutara last updated on 17/Jul/17 Commented by mrW1 last updated on 19/Jul/17 uy=uy=utux=2ydv0=2v0dywith0⩽y⩽d2ux=2(d−y)dv0=2v0(1−yd)withd2⩽y⩽dux=dxdt=dxdy×dydt=udxdy⇒udxdy=2v0dywith0⩽y⩽d2⇒udxdy=2v0(1−yd)withd2⩽y⩽dx=v0udy2+C1C1=0sincex=0aty=0⇒x=v0duy2with0⩽y⩽d2aty=d2:x=v0d4ux=2v0u(y−y22d)+C2aty=d2:v0d4u=2v0u[d2−d8]+C2C2=−v0d2u⇒x=2v0u(y−y22d−d4)withd2⩽y⩽daty=d:x=v0d2uy=utx=v0udt2with0⩽t⩽d2ux=2v0(t−ut22d−d4u)withd2u⩽t⩽du Commented by mrW1 last updated on 19/Jul/17 Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: 0-pi-2-sin-2-x-sin-x-cos-x-dx-Next Next post: Evaluate-1-ax-2-bx-c-dx- Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.